Results 101 to 110 of about 377,360 (199)

Convergence-to-Zero and Guaranteed-Cost Synchronization of Caputo–Hadamard Fractional-Order Systems with a Time-Varying Delay

Mathematics
In this paper, the convergence-to-zero and finite-horizon guaranteed-cost synchronization criteria are developed for linear Caputo–Hadamard fractional-order systems with an admissible time-varying delay.
Ymnah Alruwaily, Slim Dhahri, Foued Mtiri   +2 more
doaj   +1 more source

Shifted Chebyshev polynomials method for Caputo-Hadamard fractional Ginzburg–Landau equation

Results in Physics
This paper introduces a fractional version of the Ginzberg–Landau equation utilizing the Caputo-Hadamard derivative. To address this problem, a numerical method based on the shifted Chebyshev polynomials is developed.
M.H. Heydari, F. Rostami, M. Bayram, D. Baleanu   +3 more
doaj   +1 more source

On Some Impulsive Fractional Integro-Differential Equation with Anti-Periodic Conditions

Fractal and Fractional
We investigate a class of boundary value problems (BVPs) involving an impulsive fractional integro-differential equation (IF-IDE) with the Caputo–Hadamard fractional derivative (C-HFD). We employ some fixed-point theorems (FPTs) to study the existence of
Ymnah Alruwaily, Kuppusamy Venkatachalam, El-sayed El-hady   +2 more
doaj   +1 more source

Integro-differential equations implicated with Caputo-Hadamard derivatives under nonlocal boundary constraints

Physica Scripta
Abstract The goal of this work is to derive a new type of fractional system that arises from the combination of the Caputo-Hadamard derivative with the integro-differential equation. Also, the existence and uniqueness of solutions to this problem have been studied under nonlocal boundary conditions. Moreover, Hyer-Ulam stability has been
Hasanen A Hammad, Hassen Aydi, Doha A Kattan   +2 more
openaire   +1 more source

Spectral Collocation Method for Fractional Differential/Integral Equations with Generalized Fractional Operator

International Journal of Differential Equations, 2019
Generalized fractional operators are generalization of the Riemann-Liouville and Caputo fractional derivatives, which include Erdélyi-Kober and Hadamard operators as their special cases.
Qinwu Xu, Zhoushun Zheng
doaj   +1 more source

L1/LDG Method for Caputo-Hadamard Time Fractional Diffusion Equation. [PDF]

Commun Appl Math Comput, 2023
Wang Z.
europepmc   +1 more source

Reconstruct the Unknown Source on the Right Hand Side of Time Fractional Diffusion Equation with Caputo-Hadamard Derivative

Electronic Journal of Applied Mathematics
The Caputo-Hadamard derivative was used to investigate the problem of functional recovery in this study. This problem is ill-posed, we propose a novel Quasi-reversibility for reconstructing the sought function and show that the regularization solution depends on space.
Ngo Ngoc Hung, Danh Hua Quoc Nam, Dinh Long Le   +2 more
openaire   +1 more source

Existence and Uniqueness Results for a Class of Fractional Integro-Stochastic Differential Equations

Fractal and Fractional
The objective of this paper is to demonstrate the existence and uniqueness (EU) of solutions to a class of Fractional Integro-Stochastic Differential Equations (FISDEs) by utilizing the fixed-point technique (FPT) and stochastic techniques. Additionally,
Ayed. R. A. Alanzi, Shokrya S. Alshqaq, Raouf Fakhfakh, Abdellatif Ben Makhlouf   +3 more
doaj   +1 more source

Qualitative Analysis of Stochastic Caputo–Katugampola Fractional Differential Equations

Axioms
Stochastic pantograph fractional differential equations (SPFDEs) combine three intricate components: stochastic processes, fractional calculus, and pantograph terms.
Zareen A. Khan, Muhammad Imran Liaqat, Ali Akgül, J. Alberto Conejero   +3 more
doaj   +1 more source

Stability analysis of Hadamard and Caputo-Hadamard fractional nonlinear systems without and with delay. [PDF]

Fract Calc Appl Anal, 2022
He BB, Zhou HC, Kou CH.
europepmc   +1 more source